Answer: Lars's observation that they each have 2 more gold coins than tokens does not mean the ratios are equivalent.
Explanation:
Kenji's ratio of tokens to gold coins is 3:5.
Lars's ratio of tokens to gold coins is 4:6.
To determine if the ratios are the same, we can simplify Lars's ratio:
Lars's ratio of 4:6 can be simplified by dividing both numbers by their greatest common divisor, which is 2.
4 ÷ 2 = 2
6 ÷ 2 = 3
So, Lars's simplified ratio is 2:3.
Comparing the two ratios:
Kenji's ratio is 3:5.
Lars's simplified ratio is 2:3.
The two ratios, 3:5 and 2:3, are not the same.
Therefore, the same ratio of tokens to gold coins is not maintained for both players. Lars's observation that they each have 2 more gold coins than tokens does not mean the ratios are equivalent.